[Vuejs]-Have any events select element can dispatch to pop options?

You should try MouseEvent instead of simple ‘Event‘

Why not add the @click to the <select> and use @click="onClick($event.currentTarget)"?

<div class="value" @click="onClick($refs.selectNative)">
    <select v-if="mode=='select'" ref="selectNative" @click="onClick($event.currentTarget)">
        <option value="volvo">one</option>
        <option value="saab">two</option>
        <option value="mercedes">three</option>
    </select>
</div>